Answer:
Let d represents the dimes and q represents the quarters.
As per the statement:
A piggy bank at the flea market has 5 more than double the number of Dimes than quarters.
⇒q = 2d +5 ......[1]
It is also given that: The money in the piggy bank is worth $7.70.
⇒[tex]q+d = 7.70[/tex] ......[2]
Substitute equation [1] into [2] we have;
[tex]2d+5+d = 7.70[/tex]
Combine like terms;
[tex]3d +5 = 7.70[/tex]
Subtract 5 from both sides we get;
[tex]3d = 2.70[/tex]
Divide both sides by 3 we get;
[tex]d =\$0.90[/tex]
Substitute the values of d in equation in [1] we get;
q = 2(0.90) +5 = 1.80 + 5 = $6.80
Therefore, the dimes and quarters are in the piggy bank is $0.90 and $6.80
